P2 x Gr(2,6) – Fano fourfolds

Ambient: ℙ²P2 × Gr(2, 6) `2051`

4 families with a presentation in this ambient variety. ← back to list

family	bundle	$\mathrm{h}^{1,1}$	$\mathrm{h}^{1,3}$	$\mathrm{h}^{2,2}$	$\mathrm{h}^0(X, \omega_X^\vee)$	$\operatorname{vol}(X) = \mathrm{c}_1^4$	$\chi(X, \mathrm{T}_X)$
2-100-27-a	$(E^{ω_{4}})^{\oplus 4} \oplus E^{ω_{1} + ω_{3}}$ 4 copies of E^(w4) + E^(w1 + w3)	2	0	16	27	100	-18
2-99-27-b	$E^{ω_{3} + ω_{4}} \oplus E^{ω_{2} + ω_{3}}$ E^(w3 + w4) + E^(w2 + w3)	2	1	25	27	99	-25
2-352-75-b	$(E^{ω_{4}})^{\oplus 2} \oplus E^{ω_{2} + ω_{3}}$ 2 copies of E^(w4) + E^(w2 + w3)	2	0	4	75	352	6
2-82-24-a	$E^{ω_{4}} \oplus E^{2 ω_{4}} \oplus E^{ω_{2} + ω_{3}}$ E^(w4) + E^(2w4) + E^(w2 + w3)	2	3	42	24	82	-38